Answer:
B. -5
Step-by-step explanation:
this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with
-12x+48= -12
then you want to subtract 48 from both side to leave the x on one side alone
that will be -12x= -60
after that you have to divide both sides by -12 to find your x
so then you will see that your x is = -5! hope this helps!!
Answer:
Step-by-step explanation:
Given
Stage 20 has 
circles
Considering at each consecutive stage circle doubles itself
So at stage 21, there will be 
circles
Answer:
2×2×3×3×3
Step-by-step explanation:
●108=
•2×54
•2×27
•3×9
• 3×3
Writing the prime numbers;
108=2×2×3×3×3
9514 1404 393
Answer:
16) No
17) (c)
Step-by-step explanation:
For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.
16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.
A^-1 = [[-.2, .3][-.2, -.2]]
__
17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.
BA=C
c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37
This matches the third choice (C).
If you use a calculator to compute the full matrix product, it matches choice C in all details.
F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
<span>F2 = 0 i + 5 j </span>
<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>
<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>
<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
